Atkin-Lehner |
2- 3- 5+ 7- 37- |
Signs for the Atkin-Lehner involutions |
Class |
77700x |
Isogeny class |
Conductor |
77700 |
Conductor |
∏ cp |
40 |
Product of Tamagawa factors cp |
Δ |
-2141116740000000 = -1 · 28 · 310 · 57 · 72 · 37 |
Discriminant |
Eigenvalues |
2- 3- 5+ 7- -2 -2 -2 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,10492,-2184012] |
[a1,a2,a3,a4,a6] |
Generators |
[859:25326:1] |
Generators of the group modulo torsion |
j |
31929871664/535279185 |
j-invariant |
L |
8.0648802712153 |
L(r)(E,1)/r! |
Ω |
0.22608191508852 |
Real period |
R |
3.5672381252915 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000002218 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
15540f2 |
Quadratic twists by: 5 |